Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 8 - Further Techniques and Applications of Integration - 8.2 Volume and Average Value - 8.2 Exercises - Page 440: 35

Answer

$42.5$

Work Step by Step

Use the formula for average value with a=0 and b=6. The average price is: $\frac{1}{6-0}\int^{6}_{0}(37+6e^{-0.03t})dx=\frac{1}{6}(37t+\frac{6}{-0.03}e^{-0.03t})|^{6}_{0} \approx \frac{233}{6} \approx 42.49 \approx 42.5$
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